Prime p₀= 963589542678024707 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 10 2 46 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 90 92 102 104 132 134
All 12 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 134
Found by: GLeeM
db: batch=76, k=12, 2 28 2 10 2 46

TPT(14)	963588285032173181	0 2 36 38 78 80 216 218 276 278 318 320 336 338	-1257645851526
STPT(10)	963588636467958269	0 2 18 20 30 32 42 44 60 62	-906210066438
SPT(16)	963588667345143001	0 28 70 210 222 238 276 292 336 352 390 406 418 558 600 628	-875332881706
SPT(16)	963589462136555591	0 8 50 68 72 126 128 138 140 150 152 206 210 228 270 278	-80541469116
STPT(12)	963589481609389067	0 2 30 32 42 44 102 104 114 116 144 146	-61068635640
TPT(14)	963589542678024671	0 2 36 38 66 68 78 80 126 128 138 140 168 170	-36
STPT(10)	963589642330013507	0 2 30 32 42 44 54 56 84 86	99651988800
SPT(18)	963589744774562869	0 34 54 88 108 138 144 172 178 204 210 238 244 274 294 328 348 382	202096538162
SPT(16)	963589945926177013	0 6 34 54 66 94 126 160 174 208 240 268 280 300 328 334	403248152306
SPT(16)	963590188700332073	0 14 20 30 56 84 126 140 144 158 200 228 254 264 270 284	646022307366
SPT(16)	963590225628034001	0 2 6 18 20 30 60 62 96 98 128 138 140 152 156 158	682950009294